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Simplifying 4x + -6 = 2(3x + 5) Reorder the terms: -6 + 4x = 2(3x + 5) Reorder the terms: -6 + 4x = 2(5 + 3x) -6 + 4x = (5 * 2 + 3x * 2) -6 + 4x = (10 + 6x) Solving -6 + 4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = 10 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 10 + 0 -6 + -2x = 10 Add '6' to each side of the equation. -6 + 6 + -2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 10 + 6 -2x = 10 + 6 Combine like terms: 10 + 6 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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